2008 Advanced Math June Opportunity Day (aka Final Exam) Details

10:15-12:00 Monday, June 2nd 2008

As with any test, the most important thing is that you demonstrate as much good mathematics as possible. Use your time wisely- 105 minutes is a long time, but you will probably want to use it all. Do the problems you know well first, and don't get too bogged down on any one problem.

To review:

• Skim through the relative portions of the text to remind yourself of the text's take on the topics.
• Do the Opportunity Day revision sheet handed out in class.
• Take a look at your Supercorrections from your old unit tests- do you feel more confident now?
• Rework those tests if possible.
• As you review, ask yourself what problems you should expect to see on the Opportunity Day.
• Since you will have a graphing calculator for half of the Opportunity Day, ask yourself how that technology can help you answer questions more easily.
• Take notes on your cheat sheet.

On the day of the Opportunity Day:

• Make sure you're well rested- don't stay up late the night before and then try to compensate with an energy drink. Energy drinks do not focus your mind- studies show they make it more difficult to think and concentrate.
• Get to the Opportunity Day early if possible.
• Don't forget your cheat sheet!
• Bring a ruler, pencil, eraser, graph paper, and calculator.

During the Opportunity Day:

• Don't panic.
• The points allocated next to each question will be indicated.
• There will be some scaling of scores, so you don't need to earn every point.
• Focus on the problems you know how to do.
• Don't skip entire problems- at least do something before moving on.

As I look over the semester myself, this is generally how I see the exam shaping up:

Calculator Section: 7 questions for 38 marks
Non-calculator Section: 11 questions for 64 marks
Total: 18 questions 102 marks

Unit 1 Revision of Algebra and Functions

• Graph a function and find its x-intercepts question
• Polynomial division using the Factor/Remainder Theorem question
• Solving an inequality question

Unit 2 Functions, Inverses, Exponentials & Logarithms

• Transformation of a function question
• Find the inverse of a function and give domain/range question
• Solve log equation question
• Solve exponential equation with logs question

Unit 3 Trigonometric Functions

• Reference angle type question
• Unit circle type question
• Areas of sector/arc length question
• Trig equation using Father of All Identities question
• Transformations of trig graph (period/amplitude/sketch) question

Unit 4 Triangle Trigonometry & Trigonometric Inverse Functions

• Law of Sines/Cosines and area of a triangle question
• Inverse trig domain/range question

Unit 5 Trigonometry Functions: Advanced Graphing and Identities

• Mother of All Identities offspring question
• Mother of All Identities offspring and Father of All Identities to solve equation question
• Mother of All Identities to work with Rcos(x-a) question

Unit 6 Parametric, Polar, Complex, Sequences & Series

• Using polar form of complex number to shorten multiplication/division and DeMoivre's Theorem question